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Finding the Fourth Proportional to 371.78, 557.12 and 263.78

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Solution

The fourth proportional to 371.78, 557.12 and 263.78 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.78 : 557.12 = 263.78 : x
  2. Step 2: Convert to fraction form
    371.78/557.12 = 263.78/x
  3. Step 3: Cross multiply
    371.78x = 557.12 × 263.78
  4. Step 4: Simplify right side
    371.78x = 146,957.11
  5. Step 5: Solve for x
    x = 146,957.11/371.78
  6. Step 6: Final answer
    x = 395.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.